What about Hawkins' Zouaves, the 9th NY Infantry Regiment named for Rush C. Hawkins?

Also I'm not entirely certain the Berdan's Sharpshooters was just the 1st US Sharpshooters. I've seen things claiming it was the 2nd US Sharpshooters and things claiming it was the 1st US Sharpshooters. Then there's the reenactors website (http://www.berdansharpshooters.com/) which says that Berdan's Sharpshooters were both the 1st and 2nd USSS.